Scientific Calculator Unity Web Player

MATHEMATICS - 6

Overview

How do mathematicians think, write, and speak? Find out in Grade 6 Mathematics, where students will experience new ways of solving problems through interactive and engaging activities. With a focus on hands-on learning and real-world application, students will be exposed to foundational concepts needed for higher-level math study, including integer operations, equations, and statistics.

Major Topics and Concepts

Segment One :

Multiply and divide positive multi-digit numbers with decimals to the thousandths
Solve multi-step, real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers
Compute products and quotients of positive fractions by positive fractions, including mixed numbers
Rewrite positive rational numbers in different but equivalent forms, including fractions, terminating decimals, and percentages
Define, plot, order, and compare rational numbers
Represent and compare rational numbers that have opposite direction on a number line and explain the meaning of zero within a real-world context
Find, interpret, and compare the absolute values of rational numbers as the distance from zero on a number line, given a mathematical or real-world context
Define, plot, order, and compare rational numbers
Evaluate positive rational numbers and integers with natural number exponents
Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers
Express composite whole numbers as a product of prime factors with natural number exponents
Find the greatest common factor and least common multiple of two whole numbers given a mathematical or real-world context
Add, subtract, multiply, and divide integers
Translate written descriptions into algebraic expressions and translate algebraic expressions into written descriptions given a mathematical or real-world context
Evaluate algebraic expressions using substitution and order of operations
Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients
Determine which values make the equation or inequality true or false given an equation or inequality and a specified set of integer values
Write and solve one-step equations in one variable using addition, subtraction, multiplication, and division within a mathematical or real-world context
Translate a real-world written description into an algebraic inequality and represent the solution on a number line
Add, subtract, multiply, and divide rational numbers (accelerated)
Solve real-world problems involving any of the four operations with rational numbers (accelerated)
Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents, and absolute value (accelerated)
Apply properties of operations to add and subtract linear expressions with rational coefficients (accelerated)
Determine whether two linear expressions are equivalent (accelerated)
Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically (accelerated)

Segment Two :

Write and interpret ratios to show the relative sizes of two quantities given a real-world context
Solve mathematical and real-world problems involving ratios, rates, and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system
Determine a rate for a ratio of quantities with different units, and calculate and interpret the corresponding unit rate given a real-world context
Generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios
Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities
Solve multi-step, real-world percent problems (accelerated)
Apply ratios to solve real-world problems involving proportions (accelerated)
Recognize and formulate a statistical question that would generate numerical data
Find and interpret mean, median, mode, and range given a numerical data set within a real-world context
Determine the minimum, the lower quartile, the median, the upper quartile, and the maximum given a box plot within a real-world context and use a summary of the data to describe the spread and distribution of the data
Create box plots and histograms to represent sets of numerical data within real-world contexts
Describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers, and the range given a histogram or line plot within a real-world context
Determine and describe how changes in data values impact measures of center and variation given a real-world scenario
Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers (accelerated)
Use the measure(s) of center and measure(s) of variability to make comparisons, interpret results, and draw conclusions about two populations given two numerical or graphical representations of data (accelerated)
Use proportional relationships to make predictions about a population, given categorical data from a random sample (accelerated)
Plot rational number ordered pairs in all four quadrants and on both axes and identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate
Find distances between ordered pairs, limited to the same x-coordinate or the same y-coordinate, represented on the coordinate plane
Solve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle
Derive a formula for the area of a right triangle using a rectangle and apply the formula to find the area of a triangle
Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles
Apply formulas to find the areas of trapezoids, parallelograms, and rhombi (accelerated)
Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals (accelerated)
Find the surface area of right rectangular prisms and right rectangular pyramids using the figure’s net given a mathematical or real-world context
Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths
Determine the sample space for a simple experiment (accelerated)
Find the theoretical probability of an event related to a simple experiment (accelerated)
Interpret the likelihood of a chance event occurring and compare the probabilities of chance events (accelerated)
Find experimental probabilities and compare them to theoretical probabilities (accelerated)